Abstract
A new parallel solver for ODEs implementing a “parallelism across the steps” has been recently proposed in (Amodio and Brugnano, 1997; Brugnano and Trigiante, 1998), where it is shown that it is able to obtain an almost perfect speed-up on linear problems, and given mesh. A possible way to adapt this algorithm to efficiently handle nonlinear initial value problems has been studied in the companion paper (Brugnano and Trigiante, this issue). The corresponding algorithm is here analyzed in details, in order to show its parallel efficiency. Numerical tests on a distributed memory parallel computer are also included.
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